Search a number
-
+
136121024 = 261347592
BaseRepresentation
bin10000001110100…
…00101011000000
3100111010122221102
420013100223000
5234321333044
621301313532
73242003204
oct1007205300
9314118842
10136121024
116a922816
12397058a8
132227c8b0
1414114b04
15be3c24e
hex81d0ac0

136121024 has 84 divisors (see below), whose sum is σ = 302203104. Its totient is φ = 60446208.

The previous prime is 136121021. The next prime is 136121059. The reversal of 136121024 is 420121631.

It is a junction number, because it is equal to n+sod(n) for n = 136120987 and 136121005.

It is not an unprimeable number, because it can be changed into a prime (136121021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2307107 + ... + 2307165.

It is an arithmetic number, because the mean of its divisors is an integer number (3597656).

Almost surely, 2136121024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151101552).

136121024 is an abundant number, since it is smaller than the sum of its proper divisors (166082080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136121024 is an equidigital number, since it uses as much as digits as its factorization.

136121024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 136121024 is about 11667.0914970270. The cubic root of 136121024 is about 514.4088154465.

Adding to 136121024 its reverse (420121631), we get a palindrome (556242655).

The spelling of 136121024 in words is "one hundred thirty-six million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 47 52 59 64 94 104 118 188 208 236 376 416 472 611 752 767 832 944 1222 1504 1534 1888 2444 2773 3008 3068 3481 3776 4888 5546 6136 6962 9776 11092 12272 13924 19552 22184 24544 27848 36049 39104 44368 45253 49088 55696 72098 88736 90506 111392 144196 163607 177472 181012 222784 288392 327214 362024 576784 654428 724048 1153568 1308856 1448096 2126891 2307136 2617712 2896192 4253782 5235424 8507564 10470848 17015128 34030256 68060512 136121024